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Numerical Solutions

Build a numerical solution for the following initial-value problems.  Plot your data to observe patterns in the solution.  Is there an equilibrium solution?  Is it stable or unstable?


an + 1 = an + 100
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Answer by: Ganesha

First Answer
an+1 = an + 100.
Let a = k
Then, a1 =k+100,a2 = k+200, a3 =k+300.. and  like that contiue to get an =k+100n.
If you plot it it is  of the form

y =mx+c, where, y=an (n th gen of a and not a*n) and n =x ,100=x and  k=c

That is a sraight line with slope n  with an intercept k on x axis .

Sorry my  microsoft  graph is not capable of being  im(/ex)portable.

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